分式线性映射在矩阵中的应用

Application of Fractional Linear Mapping in Matrices

证明了Hermite矩阵在分式线性映射f(z)=e ioZ-a/z-a下的象为酉矩阵且Hermite矩阵的全体特征值被映照成相应酉矩阵的全体特征值。

It has been proved that the image of Hermitian matrix mapped by thefractional linear mapping f(z) =e(10z-a/z-a)is as Unitary, and that all characteristic values ofHermitian mapped by the same mapping are also the same of the Unitary in this paper.